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Finding the Fourth Proportional to 6,625, 9,937.74 and 2,008

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Solution

The fourth proportional to 6,625, 9,937.74 and 2,008 is: 3,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625 : 9,937.74 = 2,008 : x
  2. Step 2: Convert to fraction form
    6,625/9,937.74 = 2,008/x
  3. Step 3: Cross multiply
    6,625x = 9,937.74 × 2,008
  4. Step 4: Simplify right side
    6,625x = 19,954,981.92
  5. Step 5: Solve for x
    x = 19,954,981.92/6,625
  6. Step 6: Final answer
    x = 3,012.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.